Robust Passive Control for Uncertain Switched Singular Systems with Multiple Time-Delays

被引：3
|
作者：
Yang D.-M. [1 ]
Chen S.-S. [1 ]
机构：
[1] School of Sciences, Northeastern University, Shenyang
来源：
Dongbei Daxue Xuebao/Journal of Northeastern University | 2018年 / 39卷 / 02期
关键词：
Multiple time-delays; Robust passive control; Switched singular systems; Uncertain;
D O I：
10.12068/j.issn.1005-3026.2018.02.029
中图分类号：
学科分类号：
摘要：
The concept of passive source is extended to the switched singular systems with multiple time-delays. The problem of robust passive control for a class of switched singular systems with both uncertainties and multiple time-delays is studied, and some of these conditions need to satisfy the hypothesis. First, by means of generalized Lyapunov function and linear matrix inequality, the sufficient conditions are given for the asymptotic stability and strictly passive of uncertain switched singular systems with multiple time-delays. Moreover, the qualified robust passive controller is designed according to the existing conditions, so that the switched singular systems can be asymptotically stable and strictly passive. Finally, numerical examples illustrate the effectiveness of the approaches. © 2018, Editorial Department of Journal of Northeastern University. All right reserved.
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页码：297 / 300
页数：3
相关论文
共 9 条
  • [1] Moylan P.J., Implication of passivity in a class of nonlinear systems, IEEE Transactions on Automatic Control, 19, 4, pp. 373-381, (1974)
  • [2] Byrnes C.I., Lin W., Passivity and absolute stabilization of a class of discrete-time nonlinear systems, Automatica, 31, 2, pp. 263-267, (1995)
  • [3] Qin H.S., Hong Y.G., Passivity, optimality and stability, Control Theory and Application, 11, 4, pp. 421-427, (1994)
  • [4] Wu Z.G., Park J.H., Su H., Et al., Dissipativity analysis for singular systems with time-varying delays, Applied Mathematics and Computation, 218, 8, pp. 4605-4613, (2011)
  • [5] Dong X.-Z., Zhang Q.-L., Zhao L.-C., Passive control of linear singular systems, Journal of Biomathematics, 19, 2, pp. 185-187, (2004)
  • [6] Dong X.-Z., Zhang Q.-L., Passive control of linear singular systems via output feedback, Journal of Northeastern University(Natural Science), 25, 4, pp. 310-313, (2004)
  • [7] Guan X.-P., Long C.-N., Duan G.-R., Robust passive control for discrete time-delay systems, Acta Automatica Sinica, 28, 1, pp. 146-149, (2002)
  • [8] Boyd S., Ghaoui L.E., Feron E., Et al., Linear Matrix Inequalities in System and Control Theory, (1994)
  • [9] Peterson I.R., A stabilization algorithm for a class uncertain linear systems, Systems & Control Letters, 8, 4, pp. 351-357, (1987)
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